by Steve DiMeglio, USA TODAY Sports

by Steve DiMeglio, USA TODAY Sports

This week's AT&T National at Congressional Country Club in Bethesda, Md., lost another headliner Monday when Rose, who won the U.S. Open two weeks ago at Merion Golf Club near Philadelphia, withdrew, citing exhaustion.

Rose won the tournament in 2010 when it was played at Aronimink Golf Club in Pennsylvania.

"I'm extremely disappointed to withdraw from the AT&T National, but the last three weeks have been extremely demanding both mentally and physically," Rose said in a statement. "This tournament has been very good to me - especially in 2010 - and I would play if I felt I could. Tiger and his Foundation run a great tournament, and I wish I could be there."

Rose, who held off Phil Mickelson and Jason Day down the stretch at Merion to win his first major championship, did a media blitz early last week in New York that included a stint on The Late Show with David Letterman, then went to play in the Travelers Championship and tied for 13th.

He faded down the stretch in the Travelers and talked of fatigue afterward.

Woods, the world's No. 1 player who won the AT&T National last year, withdrew from the tournament last week because of a tender elbow.